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Simplifying -2(7x + 9) + -1(6x + 1) = -12x + -7 Reorder the terms: -2(9 + 7x) + -1(6x + 1) = -12x + -7 (9 * -2 + 7x * -2) + -1(6x + 1) = -12x + -7 (-18 + -14x) + -1(6x + 1) = -12x + -7 Reorder the terms: -18 + -14x + -1(1 + 6x) = -12x + -7 -18 + -14x + (1 * -1 + 6x * -1) = -12x + -7 -18 + -14x + (-1 + -6x) = -12x + -7 Reorder the terms: -18 + -1 + -14x + -6x = -12x + -7 Combine like terms: -18 + -1 = -19 -19 + -14x + -6x = -12x + -7 Combine like terms: -14x + -6x = -20x -19 + -20x = -12x + -7 Reorder the terms: -19 + -20x = -7 + -12x Solving -19 + -20x = -7 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. -19 + -20x + 12x = -7 + -12x + 12x Combine like terms: -20x + 12x = -8x -19 + -8x = -7 + -12x + 12x Combine like terms: -12x + 12x = 0 -19 + -8x = -7 + 0 -19 + -8x = -7 Add '19' to each side of the equation. -19 + 19 + -8x = -7 + 19 Combine like terms: -19 + 19 = 0 0 + -8x = -7 + 19 -8x = -7 + 19 Combine like terms: -7 + 19 = 12 -8x = 12 Divide each side by '-8'. x = -1.5 Simplifying x = -1.5
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